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Finding the Fourth Proportional to 75,797.50, 104,599.13 and 41,809.16

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Solution

The fourth proportional to 75,797.50, 104,599.13 and 41,809.16 is: 57,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,797.50 : 104,599.13 = 41,809.16 : x
  2. Step 2: Convert to fraction form
    75,797.50/104,599.13 = 41,809.16/x
  3. Step 3: Cross multiply
    75,797.50x = 104,599.13 × 41,809.16
  4. Step 4: Simplify right side
    75,797.50x = 4,373,201,762.03
  5. Step 5: Solve for x
    x = 4,373,201,762.03/75,797.50
  6. Step 6: Final answer
    x = 57,695.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.